Find the numerical equivalent of 25 ⋅2−2(1 point)
Responses
2
2
8
8
128
128
16
The numerical equivalent of 25 ⋅2^(-2) is 8.
To find the numerical equivalent of 25 ⋅ 2⁻², we need to evaluate the expression step by step.
Step 1: Evaluate 2⁻²
To evaluate 2⁻², we need to determine the reciprocal of 2². The reciprocal of 2² is 1/2² or 1/4.
Step 2: Multiply 25 by the reciprocal of 2²
Now, we can multiply 25 by 1/4:
25 ⋅ 1/4 = 25/4
Step 3: Simplify the fraction
To simplify the fraction 25/4, we can divide the numerator by the denominator:
25/4 = 6.25
Therefore, the numerical equivalent of 25 ⋅ 2⁻² is 6.25.
To find the numerical equivalent of 25 ⋅ 2^(-2), we need to follow the order of operations and simplify the expression.
First, we need to calculate 2^(-2), which means raising 2 to the power of -2. This can be done by using the formula: a^(-n) = 1 / (a^n). Applying this, we have:
2^(-2) = 1 / (2^2) = 1 / 4 = 0.25.
Now that we have simplified the exponential part, we can multiply 25 by 0.25:
25 ⋅ 0.25 = 6.25.
Therefore, the numerical equivalent of 25 ⋅ 2^(-2) is 6.25.
The correct response is:
6.25